Roughly speaking, a Z2 harmonic spinor is just a harmonic spinor, whose value at each point is defined only up to a sign. Such objects first appeared in the work of Taubes as degenerations of flat PSL(2,C) connections. In this talk I will discuss an index theorem for such objects. This is a joint project with Mazzeo and Takahashi.

Bio: Andriy Haydys earned his doctoral degree from Georg-August University of Goettingen (Germany). He had postdoctoral positions in Bielefeld, London, and Freiburg. Andriy joined a differential geometry group at the ULB in 2021 as an assistant professor. His research is mainly concerned with gauge theory.